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Finding the Fourth Proportional to 16,371.58, 24,557.54 and 8,972

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Solution

The fourth proportional to 16,371.58, 24,557.54 and 8,972 is: 13,458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,371.58 : 24,557.54 = 8,972 : x
  2. Step 2: Convert to fraction form
    16,371.58/24,557.54 = 8,972/x
  3. Step 3: Cross multiply
    16,371.58x = 24,557.54 × 8,972
  4. Step 4: Simplify right side
    16,371.58x = 220,330,248.88
  5. Step 5: Solve for x
    x = 220,330,248.88/16,371.58
  6. Step 6: Final answer
    x = 13,458.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.